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Finding the Third Proportional to 141,508 and 214,082

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Solution

The third proportional to 141,508 and 214,082 is: 323,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,508 : 214,082 = 214,082 : x
  2. Step 2: Convert to fraction form
    141,508/214,082 = 214,082/x
  3. Step 3: Cross multiply
    141,508x = 214,082 × 214,082
  4. Step 4: Simplify right side
    141,508x = 45,831,102,724
  5. Step 5: Solve for x
    x = 45,831,102,724/141,508
  6. Step 6: Final answer
    x = 323,876.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.